Have you found lathes.co.uk yet? Excellent site, covering a huge range of mostly Western lathes?
The pictures are of a generic type made by many different makers before WW2, and often rebadged. Sometimes marked with a name or country of origin, sometimes not. Mostly British, but could be German. Might be an Australian copy, but I’d guess an import.
This example is a RANDA Type ‘B’.
Have a read of the RANDA entry on lathes.co.uk Especially the comments on “cross-fertilization”
The worst of these machines were poorly made. Most though seem to be capable and many are still giving good service today. The breed disappeared after WW2 largely because the Myford ML7 was better value for money., The ML7 was a well-made modern machine that came with many improvements such as guards, an electric motor, precision dials, and other goodies. Cost a bit more, but Myford’s timing was perfect – many ex-servicemen bought them with their war gratuity.
Dave